Certificate for #938 ⟨a, b | aababaa=ab⟩

Back:⟨a, b | aababaa=ab⟩

Completion settings:

[1] aababaa=ab

Axiom: aababaa=ab.

Referenced by [3].

[2] ab=c

Axiom: ab=c.

Defines rule #3.

Referenced by [3], [4], [5].

[3] aababaa=c

Simplify [1] aababaa=ab.

Reduce RHS:

[2](ab)
⇒ c

Referenced by [4].

[4] accaa=c

Overlap of [3] aababaa=c with [2] ab=c:

a ababaa ab

Critical pair: acabaa=c.

Reduce LHS:

[2]ac(ab)aa
⇒ accaa

Defines rule #1.

Referenced by [5], [6].

[5] cb=accac

Overlap of [4] accaa=c with [2] ab=c:

acca a ab

Critical pair: accac=cb.

Flip LHS and RHS.

Defines rule #4.

[6] cccaa=accac

Overlap of [4] accaa=c with [4] accaa=c:

acca a accaa

Critical pair: accac=cccaa.

Flip LHS and RHS.

Defines rule #2.